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多场耦合作用下层合截锥壳的振动和屈曲分析

Analysis of vibration and buckling of laminated truncated conical shells under multi-field coupling effect

  • 摘要: 为研究层合壳结构在热-电-磁场耦合作用下的振动和屈曲特性,以外、中、内层分别为隔热层、石墨烯增强功能梯度复合材料层和压电层的层合截锥壳为研究对象,利用改进的Halpin-Tsai模型计算截锥壳中复合材料层的物性参数,根据一维热传导方程确立截锥壳的热传导温度场,基于Hamilton原理和Maxwell方程建立截锥壳振动和屈曲的控制方程并求解。通过数值分析讨论了环境温度、压电层电压和壳体半锥角等因素对截锥壳自振频率和临界屈曲温度的影响。结果表明,层合截锥壳自振频率和临界屈曲温度均随环境温度的升高、压电层电压及壳体半锥角的增大而降低。

     

    Abstract: This study investigates the vibration and buckling characteristics of laminated shell structures under thermo-electro-magnetic coupling. The shell outer,middle,and inner layers serve as the thermal insulation layer,graphene-reinforced functionally graded composite layer,and piezoelectric layer,respectively. The material properties of the composite layer in the truncated conical shell are calculated using the modified Halpin-Tsai model. The thermal conduction temperature field of the truncated conical shell is established based on the one-dimensional heat conduction equation. The governing equations for the vibration and buckling of the truncated conical shell are formulated and solved based on Hamilton's principle and Maxwell's equations. Through numerical analysis,this study discusses the effects of factors such as ambient temperature,piezoelectric layer voltage,and shell half-cone angle on the natural frequency and critical buckling temperature of the truncated conical shell. The results indicate that both the natural frequency and critical buckling temperature of the laminated truncated conical shell decrease as the ambient temperature,piezoelectric layer voltage,and shell half-cone angle increase.

     

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